Tensor products and spaces of vector-valued continuous functions |
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Authors: | Andreas Defant Willy Govaerts |
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Affiliation: | (1) Fachbereich Math./Inf. der Universität, D-2900 Oldenburg, Fed. Rep. Germany;(2) Seminarie voor Hogere Analyse, Galglaan 2, B-9000 Gent, Belgium |
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Abstract: | Quasibarrelled, barrelled and bornological tensor products of locally convex spaces are studied. A device, called the desintegration lemma, is developed for the most difficult case, that of the injective topology. Applications are given to spaces of vector-valued continuous functions.Both authors thank the Volkswagenstiftung and the A. von Humboldt Stiftung. The second author is a research associate of the Belgian National Fund for Scientific Research N.F.W.O. |
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